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Finding the Fourth Proportional to 932.57, 1,284.73 and 652.29

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Solution

The fourth proportional to 932.57, 1,284.73 and 652.29 is: 898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.57 : 1,284.73 = 652.29 : x
  2. Step 2: Convert to fraction form
    932.57/1,284.73 = 652.29/x
  3. Step 3: Cross multiply
    932.57x = 1,284.73 × 652.29
  4. Step 4: Simplify right side
    932.57x = 838,016.53
  5. Step 5: Solve for x
    x = 838,016.53/932.57
  6. Step 6: Final answer
    x = 898.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.